Base | Representation |
---|---|
bin | 111001101010110100… |
… | …101010111011000000 |
3 | 12220211102200000200000 |
4 | 321222310222323000 |
5 | 2003303430444321 |
6 | 44240233400000 |
7 | 4321323025500 |
oct | 715264527300 |
9 | 186742600600 |
10 | 61921734336 |
11 | 24296228560 |
12 | 10001569000 |
13 | 5aba9306b7 |
14 | 2dd5bb7a00 |
15 | 1926305826 |
hex | e6ad2aec0 |
61921734336 has 1008 divisors, whose sum is σ = 239046837120. Its totient is φ = 15711252480.
The previous prime is 61921734299. The next prime is 61921734367. The reversal of 61921734336 is 63343712916.
61921734336 is a `hidden beast` number, since 61 + 9 + 217 + 343 + 36 = 666.
61921734336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×619217343362 (a number of 22 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (489888) is a multiple of the sum of its prime factors (224).
It is a junction number, because it is equal to n+sod(n) for n = 61921734291 and 61921734300.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 695749780 + ... + 695749868.
It is an arithmetic number, because the mean of its divisors is an integer number (237149640).
Almost surely, 261921734336 is an apocalyptic number.
61921734336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 61921734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523418560).
61921734336 is an abundant number, since it is smaller than the sum of its proper divisors (177125102784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61921734336 is a wasteful number, since it uses less digits than its factorization.
61921734336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 224 (or 195 counting only the distinct ones).
The product of its digits is 489888, while the sum is 45.
The spelling of 61921734336 in words is "sixty-one billion, nine hundred twenty-one million, seven hundred thirty-four thousand, three hundred thirty-six".
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